On the Exact Eigenstates and the Ground States Based on the Boson Realization for Many-Quark Model with su(4) Algebraic Structure

TL;DR

This paper explores the exact eigenstates and ground states of a many-quark model with su(4) algebraic structure using boson realization, analyzing phase structure and physical interpretations of eigenstates.

Contribution

It introduces a boson realization approach to analyze the ground states and phase structure of a many-quark model with su(4) algebraic symmetry, providing new insights.

Findings

Exact eigenstates are obtained via boson realization.

The phase structure of the model is characterized.

Physical interpretation of eigenstates is clarified.

Abstract

Based on the boson realization, the ground state and phase structure are investigated in a many-quark model with algebraic structure developed in our previous paper, in which the two-body pairing and particle-hole type interactions are active. The physical interpretation of the exact eigenstates obtained in the boson realization in our previous paper is given in a many-quark model with su(4) algebraic structure.